What is the Greatest Common Factor of 78824 and 78836?

Greatest common factor (GCF) of 78824 and 78836 is 4.

GCF(78824,78836) = 4

We will now calculate the prime factors of 78824 and 78836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78824 and 78836.

How to find the GCF of 78824 and 78836?

We will first find the prime factorization of 78824 and 78836. After we will calculate the factors of 78824 and 78836 and find the biggest common factor number .

Step-1: Prime Factorization of 78824

Prime factors of 78824 are 2, 59, 167. Prime factorization of 78824 in exponential form is:

78824 = 2³ × 59¹ × 167¹

Step-2: Prime Factorization of 78836

Prime factors of 78836 are 2, 19709. Prime factorization of 78836 in exponential form is:

78836 = 2² × 19709¹

Step-3: Factors of 78824

List of positive integer factors of 78824 that divides 78824 without a remainder.

1, 2, 4, 8, 59, 118, 167, 236, 334, 472, 668, 1336, 9853, 19706, 39412

Step-4: Factors of 78836

List of positive integer factors of 78836 that divides 78824 without a remainder.

1, 2, 4, 19709, 39418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78824 and 78836. The biggest common factor number is the GCF number.
So the greatest common factor 78824 and 78836 is 4.

Also check out the Least Common Multiple of 78824 and 78836